If the daughter lived in the US between under the physical custody of her mother between the time mother got citizenship and daughter turned 18, she may already be a US citizen and can apply for a US passport. Paperwork required for her passport are:
1) Passport application, fees.
2) Her original Green card
3) Proof that she lived with her mother in the US between the time mother got citizenship and daughter turned 18 (school records will help)
4) Mother's original naturalization certificate
if not, daughter can file N-400 for naturalization.